Locating multiple roots of nonlinear equation systems via multi-strategy optimization algorithm with sequence quadratic program

Dear editor, Locating all the roots of a nonlinear equation system(NES)is not only of great significance for solving real-world prob-lems but also one of the core problems of mathematics[1].A NES can be defined by {f(x)=0 fm(x)=0;(1),where m is the number of equations,x=(x1,...,xd)is a vector with d dimensions.The variable of the ith dimension xi is in the interval(xUi,xLi),where xUi and xLi are respec-tively the upper and lower bounds.